Factor.
$$
2 z^{2}-17 z+35
$$

Question

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ We start by factoring the quadratic expression $2z^2 - 17z + 35$. ‖ ‖ step 2 ⋮ We look for two numbers that multiply to $2 \cdot 35 = 70$ and add up to $-17$. These numbers are $-7$ and $-10$. ‖ ‖ step 3 ⋮ Rewrite the middle term using these numbers: $2z^2 - 7z - 10z + 35$. ‖ ‖ step 4 ⋮ Factor by grouping: $z(2z - 7) - 5(2z - 7)$. ‖ ‖ step 5 ⋮ Factor out the common term: $(2z - 7)(z - 5)$. ‖ ∻Answer∻ ⚹ $(2z - 7)(z - 5)$ ⚹ ∻Key Concept∻ ⚹Factoring Quadratics⚹ ∻Explanation∻ ⚹To factor a quadratic expression, we look for two numbers that multiply to the product of the leading coefficient and the constant term, and add up to the middle coefficient. We then use these numbers to split the middle term and factor by grouping.⚹◊What are the steps involved in determining whether a linear system is consistent using Gaussian elimination method?⍭ Generate me a similar question◊

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